Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-01-29
Phys.Rev. D68 (2003) 065023
Physics
High Energy Physics
High Energy Physics - Theory
references added, typos corrected, section 4.2 simplified. Report.no: SU-4252-769, DFUP-02-14
Scientific paper
10.1103/PhysRevD.68.065023
The Ginsparg-Wilson algebra is the algebra underlying the Ginsparg-Wilson solution of the fermion doubling problem in lattice gauge theory. The Dirac operator of the fuzzy sphere is not afflicted with this problem. Previously we have indicated that there is a Ginsparg-Wilson operator underlying it as well in the absence of gauge fields and instantons. Here we develop this observation systematically and establish a Dirac operator theory for the fuzzy sphere with or without gauge fields, and always with the Ginsparg-Wilson algebra. There is no fermion doubling in this theory. The association of the Ginsparg-Wilson algebra with the fuzzy sphere is surprising as the latter is not designed with this algebra in mind. The theory reproduces the integrated U(1)_A anomaly and index theory correctly.
Balachandran Aiyalam P.
Immirzi Giorgio
No associations
LandOfFree
The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Fuzzy Ginsparg-Wilson Algebra: A Solution of the Fermion Doubling Problem will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-679540